10/5/2006

Tony Bahri
Rider University

Stable decompositions of complements of complex coordinate subspace arrangements and generalized moment angle complexes

A report of joint work with Martin Bendersky, Fred Cohen and Sam Gitler. We investigate a splitting, after one suspension, of a generalized moment angle complex into pieces related directly to the underlying simplicial complex defining it. In the particular case of the complements of complex coordinate subspace arrangements, our result implies a well known homology result of Goresky and MacPherson.